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Finding the Fourth Proportional to 125,348, 188,031.72 and 42,242

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Solution

The fourth proportional to 125,348, 188,031.72 and 42,242 is: 63,366.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,348 : 188,031.72 = 42,242 : x
  2. Step 2: Convert to fraction form
    125,348/188,031.72 = 42,242/x
  3. Step 3: Cross multiply
    125,348x = 188,031.72 × 42,242
  4. Step 4: Simplify right side
    125,348x = 7,942,835,916.24
  5. Step 5: Solve for x
    x = 7,942,835,916.24/125,348
  6. Step 6: Final answer
    x = 63,366.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.